Reidemeister torsion and group invariants of three-dimensional manifolds
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part II, Tome 66 (1976), pp. 204-206
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Two formulas are presented in this note. The first is purely algebraic and expresses the first elementary ideal of a finitely generated group in terms of the module of elementary derivatives. The second formula expresses the module of elementary derivatives of the fundamental group of a connected compact three-dimensional $pl$-manifold with zero Euler characteristic in terms of the Reidemeister torsion of this manifold.